An efficient artificial compressibility (AC) scheme based on the characteristic based split (CBS) method for incompressible flows

In this paper, an arti cial compressibility scheme using the nite element method is introduced. The multi-purpose CBS scheme is implemented in its fully explicit form to solve incompressible uid dynamics problems. It is important to note that the scheme developed here includes split and velocity correction. The proposed method takes advantage of good features from both velocity correction and standard arti cial compressibility schemes. Unlike many other arti cial compressibility schemes, the proposed one works on a variety of grids and gives results for a wide range of Reynold’s numbers. The paper presents some bench mark two- and three-dimensional steady and unsteady incompressible ow solutions obtained from the proposed scheme